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Finding the Third Proportional to 254,752 and 539,846

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Solution

The third proportional to 254,752 and 539,846 is: 1,143,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,752 : 539,846 = 539,846 : x
  2. Step 2: Convert to fraction form
    254,752/539,846 = 539,846/x
  3. Step 3: Cross multiply
    254,752x = 539,846 × 539,846
  4. Step 4: Simplify right side
    254,752x = 291,433,703,716
  5. Step 5: Solve for x
    x = 291,433,703,716/254,752
  6. Step 6: Final answer
    x = 1,143,989.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.